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252052136245512 = 233217250993820441
BaseRepresentation
bin111001010011110101110110…
…000010111011100100001000
31020001102221121202011212020100
4321103311312002323210020
5231014110233334324022
62252023053004325400
7104043110622233541
oct7123656602734410
91201387552155210
10252052136245512
117334778aa1a129
1224329486543860
13aa84550754725
1446355620114c8
151e216c3d981ac
hexe53d760bb908

252052136245512 has 96 divisors (see below), whose sum is σ = 722800327911480. Its totient is φ = 79074768568320.

The previous prime is 252052136245451. The next prime is 252052136245537. The reversal of 252052136245512 is 215542631250252.

252052136245512 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 5 + 2 + 1 + 3 + 624 + 5 + 5 + 12 = 666.

252052136245512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 143314082760996 + 108738053484516 = 11971386^2 + 10427754^2 .

It is a super-2 number, since 2×2520521362455122 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306805212 + ... + 307625652.

Almost surely, 2252052136245512 is an apocalyptic number.

It is an amenable number.

252052136245512 is an abundant number, since it is smaller than the sum of its proper divisors (470748191665968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252052136245512 is a wasteful number, since it uses less digits than its factorization.

252052136245512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071463 (or 1071456 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 252052136245512 its reverse (215542631250252), we get a palindrome (467594767495764).

The spelling of 252052136245512 in words is "two hundred fifty-two trillion, fifty-two billion, one hundred thirty-six million, two hundred forty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 250993 501986 752979 820441 1003972 1505958 1640882 2007944 2258937 2461323 3011916 3281764 4266881 4517874 4922646 6023832 6563528 7383969 8533762 9035748 9845292 12800643 13947497 14767938 17067524 18071496 19690584 25601286 27894994 29535876 34135048 38401929 41842491 51202572 55789988 59071752 76803858 83684982 102405144 111579976 125527473 153607716 167369964 251054946 307215432 334739928 502109892 1004219784 205924947913 411849895826 617774843739 823699791652 1235549687478 1647399583304 1853324531217 2471099374956 3500724114521 3706649062434 4942198749912 7001448229042 7413298124868 10502172343563 14002896458084 14826596249736 21004344687126 28005792916168 31506517030689 42008689374252 63013034061378 84017378748504 126026068122756 252052136245512